Based on a novel extension of classical Hoe ding-Fréchet bounds, we provide an upper VaR bound for joint risk portfolios with xed marginal distributions and positive dependence information. The positive dependence information can be assumed to hold in the tails, in some central part, or on a general subset of the domain of the distribution function of a risk portfolio. The newly provided VaR bound can be interpreted as a comonotonic VaR computed at a distorted con dence level and its quality is illustrated in a series of examples of practical interest.

VaR bounds for joint portfolios with dependence constraints / G. Puccetti, L. Rüschendorf, D. Manko. - In: DEPENDENCE MODELING. - ISSN 2300-2298. - 4:1(2016 Dec), pp. 368-381. [10.1515/demo-2016-0021]

VaR bounds for joint portfolios with dependence constraints

G. Puccetti
Primo
;
2016

Abstract

Based on a novel extension of classical Hoe ding-Fréchet bounds, we provide an upper VaR bound for joint risk portfolios with xed marginal distributions and positive dependence information. The positive dependence information can be assumed to hold in the tails, in some central part, or on a general subset of the domain of the distribution function of a risk portfolio. The newly provided VaR bound can be interpreted as a comonotonic VaR computed at a distorted con dence level and its quality is illustrated in a series of examples of practical interest.
value-at-risk; dependence uncertainty; positive dependence; model risk
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
Settore SECS-S/01 - Statistica
Settore MAT/06 - Probabilita' e Statistica Matematica
dic-2016
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/462511
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